document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=130551>Question 130551</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780395977224/algebrahomeworkh>algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me!The problem is:<BR>\n" );
document.write( "An investment of $1500 paid interest of $45 during a certain period. How much interest would an investment of $2000 invested at the same rate for the same length of time pay?<BR>\n" );
document.write( "Please and Thank you=)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95349 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=95349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the interest rate does not change and the period of investment remains unchanged, you<BR>\n" );
document.write( "can do this problem by setting up a proportion: <BR>\n" );
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document.write( "interest (I) is to invested principal (P) as interest (I) is to invested principal (P)<BR>\n" );
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document.write( "Which in equation form becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I%5B1%5D%2FP%5B1%5D+=+I%5B2%5D%2FP%5B2%5D ALIGN=MIDDLE  ALT=\"I%5B1%5D%2FP%5B1%5D+=+I%5B2%5D%2FP%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "On the left side of this equation we can substitute information from the problem. The first<BR>\n" );
document.write( "amount of interest is $45 and the principal invested is $1500. Substituting these values results<BR>\n" );
document.write( "in:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F1500+=+I%5B2%5D%2FP%5B2%5D ALIGN=MIDDLE  ALT=\"45%2F1500+=+I%5B2%5D%2FP%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "On the right side of the equation we know that the new principal is $2000. So we can substitute<BR>\n" );
document.write( "that amount to get the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F1500+=+I%5B2%5D%2F2000 ALIGN=MIDDLE  ALT=\"45%2F1500+=+I%5B2%5D%2F2000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Proportions of this form can be solved by first doing cross multiplication. Multiply the<BR>\n" );
document.write( "each numerator by the denominator on the other side and set the two products equal.  <BR>\n" );
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document.write( "So in this problem multiply the numerator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45 ALIGN=MIDDLE  ALT=\"45\"   DISABLED_style= \"max-width:90%; height:auto;\" > by the denominator on the other side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282000%29 ALIGN=MIDDLE  ALT=\"%282000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "and you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2845%2A2000%29 ALIGN=MIDDLE  ALT=\"%2845%2A2000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Then multiply the numerator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I%5B2%5D ALIGN=MIDDLE  ALT=\"I%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > by the denominator on the other<BR>\n" );
document.write( "side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281500%29 ALIGN=MIDDLE  ALT=\"%281500%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1500%2AI%5B2%5D ALIGN=MIDDLE  ALT=\"1500%2AI%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Set the two products equal and you have the<BR>\n" );
document.write( "equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1500%2AI%5B2%5D=+45%2A2000 ALIGN=MIDDLE  ALT=\"1500%2AI%5B2%5D=+45%2A2000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I%5B2%5D ALIGN=MIDDLE  ALT=\"I%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > by dividing both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1500 ALIGN=MIDDLE  ALT=\"1500\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I%5B2%5D+=+%2845%2A2000%29%2F1500 ALIGN=MIDDLE  ALT=\"I%5B2%5D+=+%2845%2A2000%29%2F1500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Do the multiplication and division on the right side and you get the answer:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I%5B2%5D+=+60 ALIGN=MIDDLE  ALT=\"I%5B2%5D+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This tells you that at the same rate of interest and for the same period if $1500 earns $45,<BR>\n" );
document.write( "then an investment of $2000 will earn $60.<BR>\n" );
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document.write( "Hope this helps you to understand the problem.<BR>\n" );
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